Finite Element Methods for Maxwell's Equations
《Finite Element Methods for Maxwell's Equations》 · 第 170 页 · Section 9.8「The Bombieri–Vinogradov Theorem」, Theorem 9.18
Theorem 9.18. We have, for any $A>0$, $\sum_{q\le Q}\max_{(a,q)=1}\left|\pi(x;q,a)-\frac{\pi(x)}{\varphi(q)}\right|\ll x(\log x)^{-A}$, where $Q=x^{1/2}(\log x)^{-B}$ with some $B(A)>0$ and the implied constant depends only on $A$.